5 less than the product of 5 and a number y is 22. (5y - 5 = 22)
Let's try to work backwards with this.
I
f we add 5 to 22, we get 27. (5y - 5 + 5 = 22 + 5)
27 divided by 5 is 5.4. (5y ÷ 5 = 27 ÷ 5)
Therefore,
y=5.4
Now, we can check this by plugging that into the first equation.
5y - 5 = 22
(5 × 5.4) - 5 = 22
27 - 5 = 22
22 = 22
Because both sides are equal, it proves that the answer is
y = 5.4
1/6p - 4/5
Explanation: -2/3p needs to have the same denominator as 5/6p so they can combine. (Note, whatever sign is in front of a number determines if it is negative or positive. Your equation indicates that the bolded parts are negative and the other parts are positive: -2/3p + 1/5 - 1 + 5/6p. So what we are really doing in an equation like this is combining some numbers together)
-2/3p and 5/6p and the least common multiple of six, so we adjust the numbers to each have a denominator of 6. 5/6p is already there, so we need to adjust -2/3p.
We can multiply both the numerator and denominator by 2 to turn -2/3p into -4/6p. -4/6p has the same value as -2/3p, and now it also has the same denominator as 5/6p!
We then have to combine like terms, therefore combining -4/6p with 5/6p. When adding together fractions, the denominator does not change (this is why both numbers must have the same denominators). So our answer will be _/6p. So we combine -4 with 5, giving us one.
Therefore, -2/3p combined with 5/6p is 1/6p.
Now we have to combine our other set of like terms, 1/5 and -1. We can do this the same way that we combined the other numbers.
1/5 and -1 need the same denominator. This is simple because 1 can easily be figured out with any denominator, as long as the numerator and denominator are the same. This would make 1 = 5/5. But we need it negative, so it would be -5/5.
Now that we have common denominators, we can combine!
1/5 - 5/5
Remember what we said before, the solution will have the same denominator, so all we need to do is (in this case) subtract the numerators.
1 - 5 = 4
So that would be -4/5.
With the like terms combined, we just need to put our two combinations (1/6p and -4/5) together!
Our answer: 1/6p - 4/5
I hope that helps!
Answer:
A) 100 + 5x = y
10 + 20x = y
Step-by-step explanation:
100 is the amount Andre started with and 5x is the 5 he adds each week
10 is the amount Elena started with and 20x is the 20 she adds we week
Answer:
x=-1 or x=-3/2
Step-by-step explanation:
Answer:
KEJ and JKE
this is because the three points of the triangle are K, J, and E
